Automatic continuity for homeomorphism groups and applications
نویسندگان
چکیده
منابع مشابه
Automatic continuity for homeomorphism groups and applications
Let M be a compact manifold, possibly with boundary. We show that the group of homeomorphisms of M has the automatic continuity property : any homomorphism from Homeo(M) to any separable group is necessarily continuous. This answers a question of C. Rosendal. If N ⊂ M is a submanifold, the group of homeomorphisms of M that preserve N also has this property. Various applications of automatic con...
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2016
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2016.20.3033